Jenny Fuselier/Jenny Sharpe

Jenny Sharpe/Jenny Fuselier
Professor of Mathematics
Department of Mathematical Sciences
Office: 340 Couch Hall
Phone: (336) 841-9342
Email: jsharpe1 AT highpoint DOT edu
or jfuselie AT highpoint DOT edu

Mailing address:
Department of Mathematical Sciences
Drawer 31
High Point University
One University Parkway
High Point, NC 27268

Fall 2023 Teaching

MTH 1410 - Calculus I
MTH 2210 - Introduction to Mathematical Thought
HNR 1301 - Graph Theory and the Science of Networks (for the HPU Honors Scholar Program)

Employment

I have been at High Point University since August 2009.
From July 2007 to June 2009, I was an assistant professor of mathematics at the United States Military Academy at West Point.

Education

Ph.D. in Mathematics, Texas A&M University, August 2007
B.S. in Mathematics, Texas A&M University, August 2002

Research Information

My general area of research is number theory. More specifically, I am interested in hypergeometric functions over finite fields and their relationships to other mathematical objects. Recently, I have been working on projects in cryptography and on mathematics related to games played with the cards EvenQuads. I have worked with undergraduate students on projects related to number theory, graph theory, and recreational mathematics. Aside from my mathematical research, I am also interested in flipped classrooms, growth mindset in introductory level college mathematics classrooms, and other math pedogogy projects. Please email me if you are interested in finding out more about my research.
My thesis advisor was Matt Papanikolas. You can see my mathematical family tree here. (Courtesy of Dr. Edward Fuselier.)

Publications

(with A. Iezzi, M. Kozek, T. Morrison, C. Namoijam) Computing supersingular endomorphism rings using inseparable endomorphisms, arXiv link
(with L. Long, R. Ramakrishna, H. Swisher, F.T. Tu) Hypergeometric functions over finite fields, Memoirs of the American Mathematical Society, Vol. 280, no. 1382 (2022), 1-124. Journal link, arXiv link
(with L. Long, R. Ramakrishna, H. Swisher, F.T. Tu) Hypergeometric functions over finite fields, 2017 MATRIX Annals, Eds. Wood, de Gier, Praeger, Tao. MATRIX Book Series, Volume 2, Springer, (2019), 461-466. Journal link
(with A. Deines, L. Long, H. Swisher, F.T. Tu) Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions, Directions in Number Theory: Proceedings of the 2014 WIN3 (2016), 125-160. Journal link, arXiv link
(with A. Deines, L. Long, H. Swisher, F.T. Tu) Generalized Legendre curves and quaternionic multiplication, Journal of Number Theory, Sp. Vol. in honor of Wen-Ching Winnie Li, 161, April (2016), 175-203. Journal link, arXiv link
(with D. McCarthy) Hypergeometric type identities in the p-adic setting and modular forms, Proceedings of the American Mathematical Society 144 (2016), 1493-1508. Journal link, arXiv link
(with A. Graham-Squire, K. O'Hara, L. Zack) Flipping Freshman Mathematics, PRIMUS, vol 25 (2015), no. 9-10, 803-813. Journal link
(with M.J. Bertin, A. Feaver, M. Lalín, M. Manes) Mahler measure of some singular K3-surfaces, Contemporary Mathematics 606 (2013), 149-169. Journal link, arXiv link
Traces of Hecke operators in level 1 and Gaussian hypergeometric functions, Proceedings of the American Mathematical Society 141 (2013), 1871-1881. Journal link,

arXiv link

Hypergeometric functions over F_p and relations to elliptic curves and modular forms, Proceedings of the American Mathematical Society 138 (2010), 109-123. Journal link,

arXiv link

Hypergeometric functions over finite fields and relations to modular forms and elliptic curves, Ph.D. Thesis, Texas A&M University, 2007 [pdf]

Previous Courses Taught

High Point University

First Year Seminar - Math and Music
Math 1310 - Applied Mathematical Concepts for Business
Math 1400 - Precalculus
Math 1420 - Calculus II
Math 2310 - Linear Algebra
Math 3010 - Cryptography
Math 4010 - Number Theory
Math 4110 - Abstract Algebra

United States Military Academy

MA103: Mathematical Modeling and Introduction to Calculus
MA499: Honors Senior Thesis II
MA488: Algebraic Number Theory (independent study)
MA383: Foundations in Mathematics
MA488A: Elementary Number Theory (independent study)
MA104: Differential Calculus
MA205: Integral Calculus

Links

HPU:

USMA:

Texas A&M:

Math:

Non Math: